Consider the bathtub in your apartment with capacity of 50 gallons, as your factory. The drain is the outlet to the market and can output 3 gallons per hour when wide open. The faucet is the raw material input and can let material in at a rate of 4 gallons per hour.
D-1- Assume the bathtub is empty to begin with. Also assume that drain is open to its maximum. At time t = 0 you turn on the faucet, how long will it take to have bathtub full? Call this time t1.
D-2- Assume you turn off the faucet at time t1. When will the bathtub drain fully? Call this time t2.
D-3- Draw a graph showing inventory evolution (accumulation and depletion) in the bathtub from t = 0 until t = t2.
D-4- Again, assume the bathtub is empty. Additionally, assume that the drain is wide open. Suppose that instead of a faucet, a five-gallon container is used for filling the bathtub. (assume a full container is next to the tub to begin with); it takes two hours to refill the container and return it to the bathtub. How would inventory of bathtub evolves over time (for 20 hours; from time 0 to time 20 hours)? You do need to plot this inventory evolution chart in MS Excel and import it to your MS Word document.
D-5- Again, assume the bathtub is empty. Additionally, assume that the drain is wide open. Suppose that instead of a faucet, a nine-gallon container is used for filling the bathtub. (assume a full container is next to the tub to begin with); it takes three hours to refill the container and return it to the bathtub. How would inventory of bathtub evolves over time (from time t = 0 to t = 21 hours)? You do need to plot this inventory evolution chart in MS Excel and import it to your MS Word document.
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Consider the bathtub in your apartment with capacity of 50 gallons, as your factory. The drain...